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Finding the Fourth Proportional to 314,271.36, 470,784.96 and 274,872.96

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Solution

The fourth proportional to 314,271.36, 470,784.96 and 274,872.96 is: 411,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,271.36 : 470,784.96 = 274,872.96 : x
  2. Step 2: Convert to fraction form
    314,271.36/470,784.96 = 274,872.96/x
  3. Step 3: Cross multiply
    314,271.36x = 470,784.96 × 274,872.96
  4. Step 4: Simplify right side
    314,271.36x = 129,406,055,478.68
  5. Step 5: Solve for x
    x = 129,406,055,478.68/314,271.36
  6. Step 6: Final answer
    x = 411,765.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.